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math.MG2011
A quantitative metric differentiation theorem
Jonas Azzam, Raanan Schul
The purpose of this note is to point out a simple consequence of some earlier work of the authors, "Hard Sard: Quantitative implicit function and extension theorems for Lipschitz m…
math.AP2011★ 4 cited
Bounded Mean Oscillation and the Uniqueness of Active Scalar Equations
Jonas Azzam, Jacob Bedrossian
We consider a number of uniqueness questions for several wide classes of active scalar equations, unifying and generalizing the techniques of several authors. As special cases of o…
math.MG2011
Hard Sard: Quantitative Implicit Function and Extension Theorems for Lipschitz Maps
Jonas Azzam, Raanan Schul
We prove a global implicit function theorem. In particular we show that any Lipschitz map $f:\bR^n\times \bR^m\to\bR^n$ (with -dim. image) can be precomposed with a bi-Lipschitz…